Falling Rock is an unincorporated community in Kanawha County, West Virginia, United States. Falling Rock is located at the confluence of Falling Rock Creek with the Elk River southwest of Clendenin along US Route 19. Falling Rock has a post office with ZIP code 25079. The community takes its name from nearby Falling Rock Creek. References Unincorporated communities in Kanawha County, West Virginia Unincorporated communities in West Virginia